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A researcher was interested in whether people who know more about a product woul

ID: 2959756 • Letter: A

Question

A researcher was interested in whether people who know more about a product would be more satisfied with the product. The researcher administered a satisfaction test about the product to 8 people, then showed a video explaining the product and re-administered the same satisfaction test. The before and after scores are listed in the table below, with higher scores indicating higher satisfaction. Conduct a t-test for dependent means at the .05 level of significance.

Subject After Before
A 8.5 8.4
B 4.3 4.6
C 2.0 1.7
D 7.8 7.3
E 7.0 7.2
F 9.1 7.4
G 3.3 3.0
H 3.5 3.5

Use the information from the table above to answer the questions....

5) What is the estimate of the population variance from the sample?
6) What is the variance of the distribution of differences?
7) What is the standard deviation of the distribution of differences (standard error)?
9) What is the t-score of the sample mean?
10) What is your conclusion? State it in words and in symbols as you would for a research article.

Explanation / Answer

standard error of difference = 0.221 variance= 0.221^2=0.048841

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